Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Decision control instruction, if age of ram,shayam and ajay are input throu...

if age of ram,shayam and ajay are input through keyboard,write a program to determine the youngest of the three.

What happens if you write following code?, What happens if you write follow...

What happens if you write following code? string& foo()

Minimum shelves, Write a program that finds the minimum total number of she...

Write a program that finds the minimum total number of shelves, including the initial one required for this loading process.

Find area under curve, write a c program to find the area under the curve4...

write a c program to find the area under the curve4 f=(x) between x=a and x=l integrate y=(x) between the limits of a and b Solution: #include float    start_point,

C program for removing specified charecter , #include stdio.h> #include ...

#include stdio.h> #include conio.h> #include string.h>   void del(char[],char *); main() {           char str[30],ch,*pp;           clrscr();           p

Miss, Depreciation to a salvage value of 0. For tax purposes an item m...

Depreciation to a salvage value of 0. For tax purposes an item may be depreciated over a period of several years, n. With the straight line method of depreciati

Explain the standard input/output iostream library, Question 1 Implemen...

Question 1 Implement a class stack which simulates the operations of the stack allowing LIFO operations. Also implement push and pop operations for the stack 2 Explain the c

Simple text editor using c programming in linux environment, Deliverables: ...

Deliverables: you are required to upload your c code in the assignment dropbox set in Moodle. You are supposed to work with Linux gcc compiler and pico editor for compiling via the

The Polishing Game, Byteland county is very famous for luminous jewels. Lum...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Program to list the cities and their states, The program will ask the user ...

The program will ask the user to enter: '1' to List the cities(and their state abbrev)  from largest to smallest (by their population) with their population '2'  to List the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd